Baryonic decays, which involve \(b \to d\) (bottom/beauty quark to down quark) transition, are very sensitive to new physics effects. Recent experimental observations of \({\Lambda }_{b}^{0} \to pK^{ - } \mu^{ + } \mu^{ - }\) decay motivate the theorists to study baryonic decays. In this paper, we have studied \({\Lambda }_{b} \to nl^{ + } l^{ - }\) decays in the non-universal \(Z^{\prime}\) ( \(Z\) prime) model. We have estimated the branching ratio, forward–backward asymmetry and polarization asymmetry (longitudinal and normal). To determine new physics, we have taken the quark coupling from \(B_{d}^{0} - \overline{B}_{d}^{0}\) mixing. We have observed a prominent enhancement of these observables compared to the standard model prediction. We hope these results will help the experimental community to explore these kinds of decays at the LHCb (Large Hadron Collider beauty)/Belle II detector in the near future.